At constant volume, a tank of gas shows a pressure of 2500 atm at 290 K. The tank is then placed in a metal shed where the temperature is 320 K. What is the new pressure?

Gay-Lussac's law states the relationship between pressure of gas with temperature. It states that pressure of gas is directly proportional to temperature of gas at constant volume.

P/T = k

where P - pressure, T-temperature and k-constant

P1/T1 = P2/T2

where parameters for the 1st instance are on the left side and parameters for the 2nd instance are on the right side.

2500 atm / 290 K = P/320 K

P = 2759 atm